whats the solutions to x^2-x-20+0
What two number multiply to -20, and add to -1?
To find the solutions to the quadratic equation x^2 - x - 20 = 0, we can use factoring or the quadratic formula.
To use factoring, we need to find two numbers that multiply to -20 and add up to -1. Let's list down the factors of -20:
1, -20
-1, 20
2, -10
-2, 10
4, -5
-4, 5
From these pairs, we can see that -4 and 5 add up to give us -1. So, we can rewrite the equation as:
(x - 4)(x + 5) = 0
Now, we can set each factor equal to zero and solve for x:
x - 4 = 0 or x + 5 = 0
Solving these equations:
x = 4 or x = -5
Therefore, the solutions to the equation x^2 - x - 20 = 0 are x = 4 and x = -5.